69 (number)

← 68 69 70 →
← 60 61 62 63 64 65 66 67 68 69 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	sixty-nine
Ordinal	69th (sixty-ninth)
Factorization	3 × 23
Divisors	1, 3, 23, 69
Roman numeral	LXIX
Binary	10001012
Ternary	21203
Quaternary	10114
Quinary	2345
Senary	1536
Octal	1058
Duodecimal	5912
Hexadecimal	4516
Vigesimal	3920
Base 36	1X36

69 (sixty-nine) is a number following 68 and preceding 70.

In mathematics

69 is:

• a lucky number.^[1]
• a semiprime.^[2]
• a Blum integer, since the two factors of 69 are both Gaussian primes.^[3]
• the sum of the sums of the divisors of the first 9 positive integers.^[4]
• the third composite number in the 13-aliquot tree. The aliquot sum of sixty-nine is 27 within the aliquot sequence (69,27,13,1,0).

Because 69 has an odd number of 1s in its binary representation, it is sometimes called an "odious number." Of note is that 69² (4761) and 69³ (328509) together use every decimal digit from 0-9. 69 is equal to 105 octal, while 105 is equal to 69 hexadecimal. This same property can be applied to all numbers from 64 to 69.

On many handheld scientific and graphing calculators, the highest factorial that can be calculated, due to memory limitations, is 69! or about 1.711224524×10⁹⁸.

In science

• The atomic number of thulium, a lanthanide.

Astronomy

• The Messier object M69 is a magnitude 9.0 globular cluster in the constellation Sagittarius.

In other fields

Sixty-nine may also refer to:

• The sex position
• The registry of the U.S. Navy's aircraft carrier USS Dwight D. Eisenhower (CVN-69), named after Dwight D. Eisenhower, the 34th President of the United States and five-star general in the United States Army
• The number of the French department Rhône
• The Taijitu
• The number Bill and Ted were thinking of when talking to their future selves, see Bill and Ted's Excellent Adventure
• The last possible television channel number in the UHF bandplan for American terrestrial television from 1982 until its withdrawal on December 31, 2011

References

1. "Sloane's A000959 : Lucky numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
2. "Sloane's A001358 : Semiprimes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
3. "Sloane's A016105 : Blum integers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
4. "Sloane's A024916 : sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

External links

• Eaves, Laurence. "69!". Numberphile. Brady Haran.